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Finding the Third Proportional to 38,220.75 and 89,934

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Solution

The third proportional to 38,220.75 and 89,934 is: 211,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220.75 : 89,934 = 89,934 : x
  2. Step 2: Convert to fraction form
    38,220.75/89,934 = 89,934/x
  3. Step 3: Cross multiply
    38,220.75x = 89,934 × 89,934
  4. Step 4: Simplify right side
    38,220.75x = 8,088,124,356
  5. Step 5: Solve for x
    x = 8,088,124,356/38,220.75
  6. Step 6: Final answer
    x = 211,616.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.